The number 42108
42108 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 29. Divisors (36): 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 121 … 42108.
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How to work it out
- 1
42108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42108 is composite. Its prime factorisation is
- 3
The divisors add up to 111720; without 42108 itself that is 69612, so 42108 is abundant (69612 is more than 42108). Euler's totient φ(42108) = 12320 numbers up to 42108 share no factor with it.
- 4
The digits of 42108 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42108 = 2^{2} \times 3 \times 11^{2} \times 29 \]42108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 111720 |
| Euler totient φ(n) | 12320 |
| Square | 1773083664 |
| Cube | 74661006923712 |
| Square root | 205.202339 (= 22√87) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2108 × |
42108 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eight |
| Binary (base 2) | 1010010001111100 |
| Octal (base 8) | 122174 |
| Hexadecimal (base 16) | A47C |
| Base 3 | 2010202120 |
| As time | 42108 seconds = 11 h 41 min 48 s |
Is 42108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42108 ÷ 2 = 21054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42108 ÷ 3 = 14036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42108 ÷ 4 = 10527) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42108 ÷ 6 = 7018) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42108 ÷ 11 = 3828) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42108 ÷ 12 = 3509) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42108 a prime number?
No. 42108 = × 3 × × 29, so it is divisible by 2.
What are the factors of 42108?
1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 121, 132, 174, 242, 319, 348, 363, 484, 638, 726, 957, 1276, 1452, 1914, 3509, 3828, 7018, 10527, 14036, 21054, 42108.
What is 42108 in binary?
1010010001111100 (hexadecimal A47C, octal 122174).
What is the square root of 42108?
About 205.2023, exactly 22√87.
Is 42108 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42108?
It is a composite number with 36 divisors.